3(x-2)+3=4x-2

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Solution for 3(x-2)+3=4x-2 equation:


Simplifying
3(x + -2) + 3 = 4x + -2

Reorder the terms:
3(-2 + x) + 3 = 4x + -2
(-2 * 3 + x * 3) + 3 = 4x + -2
(-6 + 3x) + 3 = 4x + -2

Reorder the terms:
-6 + 3 + 3x = 4x + -2

Combine like terms: -6 + 3 = -3
-3 + 3x = 4x + -2

Reorder the terms:
-3 + 3x = -2 + 4x

Solving
-3 + 3x = -2 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-3 + 3x + -4x = -2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-3 + -1x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -1x = -2 + 0
-3 + -1x = -2

Add '3' to each side of the equation.
-3 + 3 + -1x = -2 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -2 + 3
-1x = -2 + 3

Combine like terms: -2 + 3 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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